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Finding the Third Proportional to 614,376.91 and 921,565.46

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Solution

The third proportional to 614,376.91 and 921,565.46 is: 1,382,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,376.91 : 921,565.46 = 921,565.46 : x
  2. Step 2: Convert to fraction form
    614,376.91/921,565.46 = 921,565.46/x
  3. Step 3: Cross multiply
    614,376.91x = 921,565.46 × 921,565.46
  4. Step 4: Simplify right side
    614,376.91x = 849,282,891,143.22
  5. Step 5: Solve for x
    x = 849,282,891,143.22/614,376.91
  6. Step 6: Final answer
    x = 1,382,348.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.